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Finding the Fourth Proportional to 1,698.98, 2,549.55 and 725.36

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Solution

The fourth proportional to 1,698.98, 2,549.55 and 725.36 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.98 : 2,549.55 = 725.36 : x
  2. Step 2: Convert to fraction form
    1,698.98/2,549.55 = 725.36/x
  3. Step 3: Cross multiply
    1,698.98x = 2,549.55 × 725.36
  4. Step 4: Simplify right side
    1,698.98x = 1,849,341.59
  5. Step 5: Solve for x
    x = 1,849,341.59/1,698.98
  6. Step 6: Final answer
    x = 1,088.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.